@article{ASNSP_1997_4_24_4_783_0, author = {Raith, Peter}, title = {The dynamics of piecewise monotonic maps under small perturbations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {783--811}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 24}, number = {4}, year = {1997}, mrnumber = {1627314}, zbl = {0974.54027}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1997_4_24_4_783_0/} }
TY - JOUR AU - Raith, Peter TI - The dynamics of piecewise monotonic maps under small perturbations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 783 EP - 811 VL - 24 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1997_4_24_4_783_0/ LA - en ID - ASNSP_1997_4_24_4_783_0 ER -
%0 Journal Article %A Raith, Peter %T The dynamics of piecewise monotonic maps under small perturbations %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 783-811 %V 24 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1997_4_24_4_783_0/ %G en %F ASNSP_1997_4_24_4_783_0
Raith, Peter. The dynamics of piecewise monotonic maps under small perturbations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 24 (1997) no. 4, pp. 783-811. http://www.numdam.org/item/ASNSP_1997_4_24_4_783_0/
[ 1 ] Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics 470, Springer, Berlin, 1975. | MR | Zbl
,[2] On intrinsic ergodicity of piecewise monotonic transformations with positive entropy, Israel J. Math. 34 (1979), 213-237; Part 2 Israel J. Math. 38 (1981), 107-115. | MR | Zbl
,[3] The structure of piecewise monotonic transformations, Ergodic Theory Dynamical Systems 1 (1981), 159-178. | MR | Zbl
,[4] Piecewise invertible dynamical systems, Probab. Theory Related Fields 72 (1986), 359-386. | MR | Zbl
,[5] Topologically transitive subsets of piecewise monotonic maps, which contain no periodic points, Monatsh. Math. 107 (1989), 217-239. | EuDML | MR | Zbl
- ,[6] Jumps of entropy in one dimension, Fund. Math. 132 (1989), 215-226. | EuDML | MR | Zbl
,[7] Entropy of piecewise continuous interval maps, European Conference on Iteration Theory (ECIT 89), Batschuns, 1989 (Ch. Mira, N. Netzer, C. Simó, Gy. Targoński, eds.), World Scientific, Singapore,1991, 239-245. | MR | Zbl
- ,[8] Entropy of piecewise monotone mappings, Studia Math. 67 (1980), 45-63. | EuDML | MR | Zbl
- ,[9] The variation of spectra, Duke Math. J. 18 (1951), 165-176. | MR | Zbl
,[10] Topological dynamics on the interval, Ergodic Theory and Dynamical Systems, Vol. 2, Proceedings of the Special Year at the University of Maryland, 1979/1980 (A. Katok, ed.), Progress in Mathematics 21, Birkhäuser, Boston, 1982, 1-73. | MR | Zbl
,[11] Hausdorff dimension for piecewise monotonic maps, Studia Math. 94 (1989), 17-33. | MR | Zbl
,[12] Continuity of the Hausdorff dimension for piecewise monotonic maps, Israel J. Math. 80 (1992), 97-133. | MR | Zbl
,[13] The behaviour of the nonwandering set of a piecewise monotonic interval map under small perturbations, Math. Bohem. 122 (1997), 37-55. | MR | Zbl
,[14] Stability of the maximal measure for piecewise monotonic interval maps, Ergodic Theory Dynam. Systems (to appear), Preprint, Wien, 1995. | MR | Zbl
,[15] Invariant subsets of expanding mappings of the circle, Ergodic Theory Dynamical Systems 7 (1987), 627-645. | MR | Zbl
,[16] An Introduction to Ergodic Theory, Graduate Texts in Mathematics 79, Springer, New York, 1982. | MR | Zbl
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